Understanding Linear and Exponential Functions

The video tutorial explains how to determine if a table of function values represents a linear or exponential function. Linear functions are identified by repeated addition, while exponential functions are identified by repeated multiplication. The tutorial analyzes two tables: the first shows a linear function with a consistent addition pattern, and the second shows an exponential function with a consistent multiplication pattern. The video also demonstrates how to graph these functions on a coordinate plane, highlighting the differences between linear and exponential graphs.

What pattern indicates a linear function?

• Repeated division

• Repeated multiplication

• Repeated subtraction

• Repeated addition

In the first table, by how much do the function values increase each time?

• 0.1

• 0.4

• 0.3

• 0.2

What is the pattern of the inputs in the first table?

• Increase by 1

• Increase by 4

• Increase by 2

• Increase by 3

What pattern indicates an exponential function?

• Repeated addition

• Repeated subtraction

• Repeated multiplication

• Repeated division

In the second table, what is the common multiplier?

• 1/5

• 1/3

• 1/2

• 1/4

How do you find the common multiplier in an exponential function?

• Add the function values

• Subtract the function values

• Multiply the function values

• Divide one function value by the previous one

What is the result of multiplying 4/3 by 1/3?

• 1/3

• 4/9

• 1/9

• 4/27

What does the graph of a linear function look like?

• A circle

• A zigzag line

• A curve

• A straight line

What does the graph of an exponential decay function look like?

• A horizontal line

• A curve going downhill

• A curve going uphill

• A straight line

What is the characteristic of an exponential decay function?

• The function is constant

• The function is oscillating

• The function is increasing

• The function is decreasing